Geodesic
On the application of computer measurement systems in tomography
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 4, pp. 741-752

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On the basis of the theory of computer measurement systems, a method for the estimation of the internal structure of an object is proposed that takes into account the inherent symmetry of the tomography measuring scheme. The method is based on the concepts of eigenbasis and effective rank of the measurement model. The projection of the data vector on the subspace that ensures the minimal error of the estimate of the linear absorption coefficient makes it possible to reduce the dimension of the problem. The efficiency of the method is illustrated by a computational experiment. 
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     author = {E. A. Cheremukhin and A. I. Chulichkov},
     title = {On the application of computer measurement systems in tomography},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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     publisher = {mathdoc},
     volume = {45},
     number = {4},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_4_a14/}
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E. A. Cheremukhin; A. I. Chulichkov. On the application of computer measurement systems in tomography. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 4, pp. 741-752. http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_4_a14/